in math, what does the e^x usuallly mean..like what is the value of e.?

Question

i get confused b/c e^0=1...i dont really knw the value
and what about ln..what is the value of ln..does it relate to e?

Answer 1

e is a very special number. That's why it has its own symbol. It's approximately equal to 2.7182818.

ln is the logarithm in base e. If y = e^x, then x = ln y.

The link leads to a good discussion about the number e.

Answer 2

By definition, the zeroth power of ANY positive integer is 1, so "e" is no exception. "e" is one of those "magic numbers" which pops up in math. It has a value of about 2.7182, and is the sum of the series 2+1/2+1/6+1/24.....1/i^!....1/n!

We use logarithms to make the solution of certain problems easier to do. Ordinarily, the logarithms are to the base 10. Mathemeticians found that "e" and logs to the base "e" naturally wound up in differential equations, so the "log to the base e" is called "ln" to mean natural logarithm.

Answer 3

Well, first of all, any number raised to the power of 0 will be 1, by definition of how exponents calculate. 900,000,000^=1. √(-1)^0 = 1.
The value e is technically 2.718281828, however that is rounded, as I believe it has no end (don't take my word on that, though).
When you speak of ln, that is the natural logarithm. ln(x) = y is log-base-e of x = y. y is the exponent x must be raised to to equal a value of e. I forget what real significance the natural log has in maths, but its true value doesn't really come up, but rather its application.

Answer 4

e is a number. it is equal to approximately 2.718281828459045...... this goes on forever.

ln, which means natural log, is related to e in that is just like any other logarithm but the base is e. This means that if you take the natural log of some number you're really figuring out what power you would have to raise e to to get that number

e^x and ln(x) are inverses of eachother

Answer 5

e=2.182818284...........
Any number to the power zero =1.
e^x is a function with a gradient equal to itself --
the gradient of e^x=e^x. Ln is the natural logarithm, it is also a function. e.g. lnx=y means e^y=x.

Answer 6

e^xmeans ,e raised to the power x.,
e=2.7182.
e^0 =1
ln(x) means,` `natural logarithm of x to the base e

Answer 7

2.718281828, Euler's constant or base of the natural logarithm.

Answer 8

e^-x usally mean as x increase, the value of the function is decreased as e^-x
e=2.718

Answer 9

ln and e are both numbers. Kind of like log.

Answer 10

e can mean anything...it's a subsitute for a number in an equation. You have to work out what it means each time. It could be 3 or it could be 3,000,000 depending on the equation.